11240040021336 has 768 divisors, whose sum is σ = 39363729408000. Its totient is φ = 2955320121600.

The previous prime is 11240040021299. The next prime is 11240040021367. The reversal of 11240040021336 is 63312004004211.

It is a happy number.

11240040021336 is a `hidden beast` number, since 1 + 1 + 2 + 40 + 0 + 400 + 213 + 3 + 6 = 666.

11240040021336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 675028611 + ... + 675045261.

It is an arithmetic number, because the mean of its divisors is an integer number (51254856000).

Almost surely, 2^{11240040021336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240040021336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681864704000).

11240040021336 is an abundant number, since it is smaller than the sum of its proper divisors (28123689386664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11240040021336 is a wasteful number, since it uses less digits than its factorization.

11240040021336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16809 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11240040021336 its reverse (63312004004211), we get a palindrome (74552044025547).

The spelling of 11240040021336 in words is "eleven trillion, two hundred forty billion, forty million, twenty-one thousand, three hundred thirty-six".